Results 11 to 20 of about 89 (85)
Open Mathematics, 2023 In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
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Some Inequalities for Generalized Hyperbolic Functions
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
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q-Functions and Distributions, Operational and Umbral Methods
Mathematics, 2021 The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli +3 more
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On the Fresnel sine integral and the convolution
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2327-2333, 2003., 2003 The Fresnel sine integral S(x), the Fresnel cosine integral C(x), and the associated functions S+(x), S−(x), C+(x), and C−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions with x+r, xr are evaluated.
Adem Kılıçman
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On the Fresnel integrals and the convolution
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2635-2643, 2003., 2003 The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated.
Adem Kiliçman, Brian Fisher
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On some trigonometric power sums
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 3, Page 185-191, 2002., 2002 Using the generating function method, the closed formulas for various power sums of trigonometric functions are established. The computer algebra system Maple is used to carry out the complex calculations.
Hongwei Chen
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On the sine integral and the convolution
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 6, Page 365-375, 2002., 2002 The sine integral Si(λx) and the cosine integral Ci(λx) and their associated functions Si+(λx), Si−(λx), Ci+(λx), Ci−(λx) are defined as locally summable functions on the real line. Some convolutions of these functions and sin(μx), sin+(μx), and sin−(μx) are found.
Brian Fisher, Fatma Al-Sirehy
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Advances in Mathematical PhysicsMSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool +4 more
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The Deformed Trigonometric Functions of two Variables [PDF]
, 2012 MSC 2010: 33B10, 33E20Recently, various generalizations and deformations of the elementary functions were introduced. Since a lot of natural phenomena have both discrete and continual aspects, deformations which are able to express both of them are of ...
Mulalic, Edin +2 more
core
The monotonicity of ratios involving arc tangent function with applications
Open Mathematics, 2019 In this paper, we investigate the monotonicity of the ...
Yang Zhen-Hang, Tin King-Fung, Gao Qin
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